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Finding the Third Proportional to 67,920.19 and 147,509.44

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Solution

The third proportional to 67,920.19 and 147,509.44 is: 320,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,920.19 : 147,509.44 = 147,509.44 : x
  2. Step 2: Convert to fraction form
    67,920.19/147,509.44 = 147,509.44/x
  3. Step 3: Cross multiply
    67,920.19x = 147,509.44 × 147,509.44
  4. Step 4: Simplify right side
    67,920.19x = 21,759,034,151.57
  5. Step 5: Solve for x
    x = 21,759,034,151.57/67,920.19
  6. Step 6: Final answer
    x = 320,361.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.